Boundary layers in a semilinear parabolic problem

Tohoku Mathematical Journal

Volumn 51, Issue 3, 1999, Pages 421-432

  Hale, Jack K ^a   Salazar, Domingo ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033471361     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178224771     Document Type: Article

References (8)

1. W. A. COPPEL, Dichotomies in Stability Theory, Lecture Notes in Math., vol. 629, Springer-Verlag, 1978.
2. Albert James De Santi, Boundary and interior layer behavior of solutions of some singularly perturbed semilinear elliptic boundary value problem, J. Math. Pures Appl. 65 (1986), 227-262.
3. Jack K. Hale and Kunimochi Sakamoto, Existence and stability of transition layers, Japan J. Appl. Math. 5(3) (1988), 367-405.
4. Jack K. Hale and José Domingo Salazar Gonzalez, Attractors of some reaction diffusion problems, SIAM J. Math. Anal., to appear.
5. R. E. O’Malley Jr. Phase-plane solutions to some singular perturbation problems, J. Math. Anal. Appl. 54 (1976), 449-466.
6. Carlos Rocha, Examples of attractors in scalar reaction-diffusion equations, J. Differential Equations 73(1) (1988), 178-195.
7. Masaharu Taniguchi, A remark on singular perturbation methods via the Lyapunov-Schmidt reduction, Publ. Res. Inst. Math. Sci. 31(6) (1995), 1001-1010.
8. T. I. Zelenyak, Stabilization of solutions of boundary value problems for a second order parabolic equation with one space variable, Differential Equations 4 (1968), 17-22.